The irreducibility of the space of curves of given genus
Publications Mathématiques de l'IHÉS, Tome 36 (1969), pp. 75-109 
@article{PMIHES_1969__36__75_0,
     author = {Deligne, Pierre and Mumford, David},
     title = {The irreducibility of the space of curves of given genus},
     journal = {Publications Math\'ematiques de l'IH\'ES},
     pages = {75--109},
     year = {1969},
     publisher = {Institut des Hautes Etudes Scientifiques},
     volume = {36},
     mrnumber = {262240},
     zbl = {0181.48803},
     language = {en},
     url = {https://www.numdam.org/item/PMIHES_1969__36__75_0/}
}
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Deligne, Pierre; Mumford, David. The irreducibility of the space of curves of given genus. Publications Mathématiques de l'IHÉS, Tome 36 (1969), pp. 75-109. https://www.numdam.org/item/PMIHES_1969__36__75_0/

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